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a. 410 . 8 15 = (22)10 . (23)15 = 220 . 245 = 265
b. 415 . 530 = 415 . (52)15 = 415 . 2515 = (4.25)15 = 10015
c. 2716 . 910 = (33)16 . (32)10 = 348 . 320 = 368
\(5^8:25^2=5^8:5^4\)
=54=625
\(4^9:64^2=4^9:\left(2^2\right)^6\)
=49:46
=43=64
58 : 252 = 58 : (52)2
= 58 : 54
= 54
49 : 642 = 49 : (43)2
= 49 : 46
= 43
\(A=\frac{72^3\times54^2}{108^4}\)
\(\Rightarrow A=\frac{\left(2^3\times3^2\right)^3\times54^2}{\left(54\times2\right)^4}\)
\(\Rightarrow A=\frac{\left(2^3\right)^3\times\left(3^2\right)^3\times54^2}{54^4\times2^4}\)
\(\Rightarrow A=\frac{2^9\times3^6\times54^2}{54^2\times54^2\times2^4}\)
\(\Rightarrow A=\frac{2^5\times3^6}{54^2}\)
\(\Rightarrow A=\frac{2^5\times3^6}{\left(2\times3^3\right)^2}\)
\(\Rightarrow A=\frac{2^2\times2^3\times3^6}{2^2\times\left(3^3\right)^2}\)
\(\Rightarrow A=\frac{2^3\times3^6}{3^6}\)
\(\Rightarrow A=2^3=8\)
\(B=\frac{3^{10}\times11+3^{10}\times5}{3^9\times2^4}\)
\(\Rightarrow B=\frac{3^{10}\times\left(11+5\right)}{3^9\times2^4}\)
\(\Rightarrow B=\frac{3^{10}\times16}{3^9\times16}\)
\(\Rightarrow B=\frac{3^{10}}{3^9}=3\)
a,\(\left(77.54-54.75\right):54-3^5:3^3\)
\(=[54.\left(77-75\right)]:54-3^2\)
\(=[54.2]:54-9\)
\(=108:54-9=2-9=-7\)
b,\(|-12|+\left(-23\right)+\left(-15\right)+|-7|+9\)
\(=12+\left(-23\right)+\left(-15\right)+7+9\)
\(=-10\)
c,\(4^2+2^3.\left(168:2^2-6^2\right)\)
\(=16+8.\left(168:4-36\right)\)
\(=24.\left(42-36\right)=24.6=144\)
d,\(-35+17+\left(-45\right)+|-13|\)
\(=\left(-35+-45\right)+\left(17+13\right)\)
\(=-80+30=-50\)
HTDT
\(B=\frac{72^3.54^2}{108^4}\)
\(B=\frac{2^9.3^6.2^2.3^6}{2^8.2^{12}}=2^3=8\)
B = 8
..............
mik nha